Finding the Fourth Proportional to 1,335.38, 1,842.88 and 775.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,335.38 : 1,842.88 = 775.84 : x
2. Step 2: Convert to fraction form
   1,335.38/1,842.88 = 775.84/x
3. Step 3: Cross multiply
   1,335.38x = 1,842.88 × 775.84
4. Step 4: Simplify right side
   1,335.38x = 1,429,780.02
5. Step 5: Solve for x
   x = 1,429,780.02/1,335.38
6. Step 6: Final answer
   x = 1,070.69